Known 354-digit prime factors of googolduplex − 1

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  3. Known 354-digit prime factors of googolduplex − 1

This is a list of known 354-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 10100 and 0 ≤ m ≤ 10100.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 1169 4835986350 5116208467 0515326714 4663763235 6594226484 4004072596 0271508623 8738919758 8053343308 9053990946 2944355941 1612806114 2344745980 2318464134 9489617183 6419045605 6307820828 6819529184 5639267461 9231106276 4903751652 4771929560 9496459320 5531855346 6349840164 1845703125 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  2. 1672 9562165771 0939839515 9456378298 9147977233 6390125241 8835582511 3086654758 6190032591 8638669627 0070514870 7501323968 0910509242 6581130745 3076567484 5115866586 1497956695 0253797585 9013386070 7283020019 5312500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=13)
  3. 2182 5644179344 4426129091 5721551996 1226899529 4244348007 8727036876 2919204977 3983304058 3085525913 3876610169 8401727269 1403248981 1908921341 5706044964 4089622869 3154257349 8177262081 2989771366 1193847656 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=53)
  4. 4127 4630804892 1932910036 9257851019 5484080673 9928864480 6341355612 7561495558 6841073461 3876905580 9247954599 6860235940 4386923142 9188449230 0644160670 0232668477 0267232622 8274769462 9923989891 6935673377 7946576784 4785100919 7733455692 0343776924 9654604374 1866561353 2696725304 7242441526 4043329187 8707677824 4227170944 2138671875 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)